Groupe mirabolique, stratification de Newton raffinée et cohomologie des espaces de Lubin-Tate

DOI10.24033/BSMF.2797zbMath1459.11125arXiv1611.02082OpenAlexW4327766596MaRDI QIDQ5110484

Pascal Boyer

Publication date: 19 May 2020

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02082

zbMATH Keywords

Shimura varietiesGalois representationlocalized cohomologymaximal ideal of the Hecke algebratorsion in the cohomology

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) (p)-adic theory, local fields (11F85) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (3)

IHARA LEMMA AND LEVEL RAISING IN HIGHER DIMENSION ⋮ Galois irreducibility implies cohomology freeness for KHT Shimura varieties ⋮ The cohomology of Lubin-Tate spaces is free

Cites Work

• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• Monodromy of perverse sheaves on vanishing cycles on some Shimura varieties
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I

This page was built for publication: Groupe mirabolique, stratification de Newton raffinée et cohomologie des espaces de Lubin-Tate